Document Zbl 1082.35101

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Blow up of solutions with positive energy in nonlinear thermoelasticity with second sound. (English) Zbl 1082.35101

J. Appl. Math. 2004, No. 3, 201-211 (2004).

The authors consider a nonlinear multidimensional thermoelastic systems where the heat flux is given by Cattaneo’s law with a source term. The existence of local solutions and blow up of global solutions, when the initial energy is sufficiently large, are proved.

Reviewer: Nickolaj A. Lar’kin (Maringa)

Cited in 14 Documents

MSC:

35L55	Higher-order hyperbolic systems
35L70	Second-order nonlinear hyperbolic equations
74F05	Thermal effects in solid mechanics

Keywords:

Cattaneo’s law; source term; existence of local solutions

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